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Dynamics of conformal gravity with merons

Динамика конформной гравитации с меронами

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Il Nuovo Cimento A (1965-1970)

Summary

We investigate the semi-classical stability of a fully conformal invariant theory with gravity around the meron solutions. Using a new definition of stability for merons, we find that stability depends on the cosmological constant. We also investigate the potential of the model in Minkowski domain with cosmological time background and draw physical consequences about the dynamics of the model.

Riassunto

Si studia la stabilità semiclassica di una teoria invariante pienamente conforme con gravità intorno alle soluzioni meroniche. Usando una nuova definizione di stabilità per i meroni, si trova che la stabilità dipende dalla costante cosmologica. Si studia anche il potenziale del modello nel dominio di Minkowski con sottofondo di tempo cosmologico e si delineano le conseguenze fisiche sulla dinamica del modello.

Реэюме

Мы исследуем полуклассическую устойчивость полностью конформно инвариантной теории с гравитацией вокруг меронных рещений. Испольэуя новое определение устойчивости для меронов, мы получаем, что устойчивость эависит от космологической постоянной. Мы также исследуем потенциал модели в области Минковского С космологическим временным фоном и выводим фиэические следствия, касаюшиеся динамики зтой модели.

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To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

This work is partially supported by TBTAK, the Scientific and Technical Research Council of Turkey.

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Akdeniz, K.G., Hacinliyan, A. & Kalayci, J. Dynamics of conformal gravity with merons. Nuov Cim A 90, 98–110 (1985). https://doi.org/10.1007/BF02734951

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